LCM for 5, 5 and 5

"Least Common Multiple of 3 Numbers" Calculator
Least Common Multiple of
,
and

What's the Least Common Multiple (LCM) of 5, 5 and 5?

Answer

LCM of 5, 5 and 5 is
5

(Five)

5 is the smallest positive integer that 5, 5 and 5 all divide without a remainder — every other common multiple of the three is a multiple of it.

Finding the LCM of 5, 5 and 5 by Prime Factorization

Split all three numbers into prime factors, then take every prime that shows up in at least one of them, each raised to the highest power it reaches there. Multiplying those highest powers gives the least common multiple:

All Prime Factors of 5: 5 (exponent form: 5)

All Prime Factors of 5: 5 (exponent form: 5)

All Prime Factors of 5: 5 (exponent form: 5)

Prime factor555Highest power
55555

LCM = 5 = 5

Checking the LCM of 5, 5 and 5 Two Numbers at a Time

The least common multiple is associative, so three numbers can be handled as two pairs: first the LCM of the first two, then the LCM of that value and the third. Each pair goes through the two-number formula, which uses the greatest common divisor:

LCM(a, b) = (a × b) ÷ GCD(a, b)

LCM(5, 5) = (5 × 5) ÷ 5 = 25 ÷ 5 = 5

LCM(5, 5, 5) = 5

Related Calculations

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About "Least Common Multiple of 3 Numbers" Calculator

This calculator finds the Least Common Multiple (LCM) of three numbers at once, without doing it in two passes. For example, it can help you find out what's the Least Common Multiple (LCM) of 5, 5 and 5? (The answer is: 5). Enter the first number (e.g. '5'), the second (e.g. '5') and the third (e.g. '5'), then hit the 'Calculate' button.
The Least Common Multiple of three numbers is the smallest positive integer that all three of them divide without a remainder
"Least Common Multiple of 3 Numbers" Calculator
Least Common Multiple of
,
and

LCM Table

Number 1Number 2Number 3LCM
1555
25510
35515
45520
5555
55630
55735
55840
55945
551010
551155
551260
551365
551470
551515
551680
551785
551890
551995
552020
5521105
5522110
5523115
5524120
552525
5526130
5527135
5528140
5529145
553030

FAQ

What's the Least Common Multiple (LCM) of 5, 5 and 5?

LCM of 5, 5 and 5 is 5

How to find the LCM of 5, 5 and 5 by prime factorization?

Take every prime that appears in 5, 5 and 5 to the highest power it reaches in any one of them and multiply: 5 = 5.

Can you get the LCM of 5, 5 and 5 two numbers at a time?

Yes, and it is the check this page prints. The LCM of 5 and 5 is 5, and the LCM of 5 and 5 is 5 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 5 divisible by 5, 5 and 5?

Yes, and by definition it is the smallest positive integer that is: 5 ÷ 5, 5 ÷ 5 and 5 ÷ 5 all come out whole. Any other common multiple of 5, 5 and 5 is a multiple of 5.

See Also